Question

1. use the diagram below to answer the following question

m∠bie is a vertical angle with m∠jik
vertical angles are select supplementary congruent

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other. In the given diagram, lines JB and GF intersect at point I. $\angle BIE$ and $\angle JIK$ are opposite each other at the intersection of these two lines.

Step2: Recall vertical - angle property

By the property of vertical angles, vertical angles are congruent. This is a fundamental geometric property.

Answer:

congruent